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Finding the Fourth Proportional to 1,768.95, 2,439.72 and 1,237.64

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Solution

The fourth proportional to 1,768.95, 2,439.72 and 1,237.64 is: 1,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.95 : 2,439.72 = 1,237.64 : x
  2. Step 2: Convert to fraction form
    1,768.95/2,439.72 = 1,237.64/x
  3. Step 3: Cross multiply
    1,768.95x = 2,439.72 × 1,237.64
  4. Step 4: Simplify right side
    1,768.95x = 3,019,482.86
  5. Step 5: Solve for x
    x = 3,019,482.86/1,768.95
  6. Step 6: Final answer
    x = 1,706.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.